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# Archimedes' Principle

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## Enrico Zabayle

on 24 September 2014

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#### Transcript of Archimedes' Principle

Archimedes' Principle
Density
Water Displacement
Buoyancy
Archimedes' Principle
The Law of Buoyancy
"The buoyant force acting on a submerged or floating object is equal to the weight of the displaced fluid."
the buoyant force = the weight of the displaced water
Buoyant Force
- the tendency of a body to float or to rise when submerged in a fluid
where P = pressure
A = area
- the amount of an object (weight or mass) there is an a given volume (the amount of water the object displaces).
Water (H2O) = 1g/cm³ or 1000kg/m³
1 g =1 cm³ = 1 mL
- simply when something (e.g. a block) is put into water, and the water level rises.
V2-V1
Problem #1
You have a block of a mystery material, 12 m long, 11 m wide and 3.5 m thick. Its mass is 1155 grams.
Principle of Floatation
If density of the object = density of liquid, buoyant force = weight of the object: it will float

If density of the object > density of liquid, buoyant force < weight of the object: it will sink
submerged volume/total volume = density of object/density of liquid
Problem #2
What percentage of the volume of ice is submerged water? Ice has a density of 900 kg/m³.
Specific Gravity Determination
It is the ratio of density of substance to the density of water.

specific gravity = Wa/Wa-Ww

for liquid:

specific gravity = Wa- WL/Wa-Ww
Problem #3
A stone is found to weigh 6.2 N in air, 4.5 in water, and 5.3 N in an unknown liquid. Find the density of the stone and unknown liquid.
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